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omeli [17]
2 years ago
5

Evaluate the equation please

Mathematics
1 answer:
Mademuasel [1]2 years ago
7 0
PEMDAS , also photo math will answer it
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A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the a
kirza4 [7]
Ratio of height of the man to the length of the shadow = 6:9 = 2:3
Ratio of height of the tree to the length of its shadow = x:25 = 2:3
x/25 = 2/3
x = (25 x 2)/3 = 50/3 = 16.67

Therefore the approximate height of the tree to the nearest foot is 17 feet.
7 0
3 years ago
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Matt and Brian were solving a system of equations. They both noticed that the two lines had the same slope. Brian said that beca
mixas84 [53]

Answer:

it's answer is B.

Step-by-step explanation:

you're welcome:)

8 0
3 years ago
Please help with the question in the picture!
Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = 1 - \frac{9}{25}

Cos² C = \frac{25 - 9}{25}

Cos² C = \frac{16}{25}

Cos C = \sqrt{\frac{16}{25} }

Cos C = \frac{4}{5}

As we know that

Tan C = \frac{Sin C}{Cos C }

<em>Tan C = \frac{\frac{3}{5} }{\frac{4}{5} }</em>

<em>Tan C = \frac{3}{4}</em>

<u>METHOD - II</u>

Given Sin C = \frac{3}{5} = \frac{Height}{Hypotenuse}

therefore,  

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

<em>AC² = 25 - 9</em>

<em>AC² = 16</em>

<em>AC  ( Base) = 4</em>

<em>Since, </em>

<em>Tan C = \frac{Height}{Base}</em>

<em>Tan C = \frac{AB}{AC}</em>

<em>Hence Tan C = \frac{3}{4}</em>

<em />

4 0
3 years ago
What is the value of the logarithm? ln(121) Round the answer to the nearest ten thousandth. Enter your answer in the box.
vovikov84 [41]
The value of the logarithm of ln(121) is <span> 4.7958 </span>Rounding <span>the answer to the nearest ten thousandth</span>
6 0
3 years ago
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 Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked
rusak2 [61]

Answer:

$8.8 per hour

Step-by-step explanation:

Well, the equation is simple.

Time (hours) * Money (per hour) = Total

We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number

12.5 * money = 110

To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working

money = 110/12.5

money = 8.8$

You can also check it out to make sure it's correct.

If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out

8.8 * 12.5 =?

8.8 * 12.5 = 110, the same total amount so our solution must be correct.

3 0
2 years ago
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